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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 257 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  5. 5.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  7. 7.Rice at ₹32 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 8 kg of tea at ₹64 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 2 kg of tea at ₹119 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 2 kg of tea at ₹21 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 4 kg of tea at ₹50 per kg with 12 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 7 kg of tea at ₹90 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.Rice at ₹33 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.A grocer mixes 6 kg of tea at ₹101 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A jug has 10 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 3 kg of tea at ₹55 per kg with 11 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹48 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 3 kg of tea at ₹115 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 12 kg of tea at ₹107 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  33. 33.A grocer mixes 6 kg of tea at ₹86 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹47 per kg with 12 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 8 kg of tea at ₹105 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  39. 39.Rice at ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  40. 40.A grocer mixes 10 kg of tea at ₹38 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 25
  3. 10
  4. 10
  5. 60
  6. 3
  7. 4
  8. 79
  9. 44
  10. 77
  11. 29
  12. 18
  13. 50
  14. 106
  15. 10
  16. 40
  17. 84
  18. 18
  19. 36
  20. 55
  21. 44
  22. 1
  23. 3
  24. 53
  25. 16
  26. 15
  27. 36
  28. 50
  29. 104
  30. 8
  31. 80
  32. 30
  33. 73
  34. 56
  35. 72
  36. 50
  37. 30
  38. 40
  39. 14
  40. 41

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